Question

Hany earns $17.00 per hour for a forty-hour week. His overtime rate is 1½ times any hours exceeding forty in a week. What will Hany's gross earnings be for a week if he works 42.5 hours?​

Answer 1

$743.75

Explanation:

Regular rate per hour = $17

Overtime rate per hour =
`1(1)/(2)` times regular rate

`=1(1)/(2) * 17\\\\= (3)/(2)* 17\\ \\=25.5`

Hany works 42.5 hours

= 40 regural hours + 2.5 overtime hours

= 40(17) + 2.5(25.5)

= 680 + 63.75

= 743.75

Answer 2

$743.75

Explanation:

To calculate Hany's gross earnings for a week when he works 42.5 hours, we need to consider both his regular pay for 40 hours and the overtime pay for the additional 2.5 hours.

Regular pay (40 hours)

Hany earns $17.00 per hour for the first 40 hours he works in a week.

Therefore, to calculate his gross earnings for the first 40 hours he worked, multiply the rate per hour by the number of hours worked:

`\begin{aligned}\sf Regular\; pay &= \sf Hourly \;rate * Number \;of \;regular\;hours\\& = \sf \$17.00/hour * 40 \;hours\\& = \sf \$680.00\end{aligned}`

Overtime pay for (2.5 hours)

Hany's overtime rate is 1.5 times his regular hourly rate.

Therefore, to calculate his gross earnings for the 2.5 hours of overtime he worked, multiply the standard rate per hour by 1.5 and then multiply this by the number of hours worked:

`\begin{aligned}\sf Overtime\; pay &= \sf Hourly \;rate * 1.5* Number \;of \;overtime\;hours\\& = \sf \$17.00/hour * 1.5 * 2.5\;hours\\& = \sf \$63.75\end{aligned}`

Gross earnings for the week

To calculate Hany's total gross earnings, sum his regular pay and overtime pay:

`\begin{aligned}\sf Total\; gross\; earnings &= \sf Regular\; pay + Overtime \;pay\\&= \sf \$680.00 + \$63.75\\&=\sf \$743.75\end{aligned}`

Therefore, Hany's gross earnings for the week will be $743.75.